Ch 6: Formulas and letters: Formative Assessment

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Slide 1 - Diapositive

Exercise 1

Slide 2 - Diapositive

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula


Calculate the length of the plants after 3 days. And after one week.

3.a
s=4+2x2

Slide 3 - Question ouverte

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula


What was the length of the plants when Sandra started writing this down (at day 0)? 


3.b
s=4+2x2

Slide 4 - Question ouverte

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula


Lemon trees can become 6 meters long when they are full grown (6 m = 6000 mm)! Sandra says after 30 days she has a fullgrown tree. Do you think this can be true? Why or why not? 


3.c
s=4+2x2

Slide 5 - Question ouverte

Exercise 2

Slide 6 - Diapositive

Given the formula

find y when x = 3
y=3x220
4.a

Slide 7 - Question ouverte

Given the formula

find y when x = -6
y=5x2
4.b

Slide 8 - Question ouverte

Given the formula

find y when x =
y=(x2)2
42
4.c

Slide 9 - Question ouverte

Exercise 3

Slide 10 - Diapositive

Which function is a linear function and which function is a quadratic function? Drag the functions to the right place.
5.a
Linear function
Quadratic function

Slide 11 - Question de remorquage

Two functions are given: 
and 
Make tables for both functions and draw both the graphs on one coordinate plane.
y=21x2
y=2x2
5.b

Slide 12 - Diapositive

Two functions are given
and
The graphs intersect at one point. What are the coordinates of this point?
y=21x2
y=2x2
5.c

Slide 13 - Question ouverte

Exercise 4

Slide 14 - Diapositive

The photo shows the Mike O’Callaghan-Pat Tillman Memorial Bridge in the United States of America.

Slide 15 - Diapositive


The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters. What is the heighest point of this bidge? 


How far above the water is the highest point of the arch?

6.a
y=6750,0014x2

Slide 16 - Question ouverte


The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.


How far above the water is the beginning point of the arch (A)? And the end point (B)? 

6.b
y=6750,0014x2

Slide 17 - Question ouverte


The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.


What is the distance between point A and point B?
6.c
y=6750,0014x2

Slide 18 - Question ouverte

Exercise 5

Slide 19 - Diapositive

Simplify:
7a + 3ab + 4a

To answer with a square on your laptop: 
5^2 = 
52
7.a

Slide 20 - Question ouverte

Simplify:

8p2qp
To answer with a square on your laptop: 
5^2 = 
52
7.b

Slide 21 - Question ouverte

Simplify:
5ac + 13b
To answer with a square on your laptop: 
5^2 = 
52
7.c

Slide 22 - Question ouverte

Simplify:

To answer with a square on your laptop: 
5^2 = 
52
21ac43bd
7.d

Slide 23 - Question ouverte

Simplify:

2x6xyz
To answer with a square on your laptop: 
5^2 = 
52
7.e

Slide 24 - Question ouverte

Simplify:

To answer with a square on your laptop: 
5^2 = 
52
p3qr0
7.f

Slide 25 - Question ouverte

Simplify:
7xy + 5z + 3
To answer with a square on your laptop: 
5^2 = 
52
7.g

Slide 26 - Question ouverte

Simplify:

To answer with a square on your laptop: 
5^2 = 
52
52bc+32cb
7.h

Slide 27 - Question ouverte

Exercise 6

Slide 28 - Diapositive

Simplify:
-3y - 7y

8.a

Slide 29 - Question ouverte

Simplify:
7q - 4p - 3q + p
8.b

Slide 30 - Question ouverte

Simplify:
165x31
8.c

Slide 31 - Question ouverte

Simplify:
5xy - 7xz + 4yz - 2xz
8.d

Slide 32 - Question ouverte

Simplify:

121abc+281abc
8.e

Slide 33 - Question ouverte

Simplify:
-2ab - - 3a
8.f

Slide 34 - Question ouverte

Simplify:
2a + 3ab - 5ab - 7a
8.g

Slide 35 - Question ouverte

Simplify:
-8ac - 4bc + 2ab + 5ac
8.h

Slide 36 - Question ouverte

This is the end of the formative assessment!

Check if you've answered all the questions. 
If you are completely done, you can log off this lesson. 

Slide 37 - Diapositive